2 Points
2 answers:
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<u>Explanation:</u>
The parametric representation of a line segment joining the points (a,b,c) and (l,m,n) is
r(t) = (1-t) . (a,b,c) + t . (l, m, n) where t ∈ |0, 1|
So, the parametric representation of a line segment joining the points (3,0,0) and (3,2,5) is
r(t) = (1 - t) . (3,0,0) + t . (3,2,5) where t ∈ |0, 1|
r(t) = (3(1 - t), 0, 0) + (3t, 2t, 5t) where t ∈ |0, 1|
r(t) = (3, 2t, 5t)
Given:
dr = (0, 2, 5) dt
Substitute = 9 + 29t² = u, 92tdt = du
Limit changes from 0→1 to 9 → 38
On solving this, we get:
Therefore, work done is
Answer:
20 rad/s^{2}
Explanation:
weight / force (F) = 150 N
radius (r) = 0.5 m
mass (m) = 15 kg
angular acceleration = tangential acceleration / radius
where
- tangential acceleration = force/ mass = 150/15 = 10 m/s^{2}
- substituting the above into the equation for angular acceleration we have
angular acceleration = 10 / 0.5 =